Jane wants to compare the average emotional intelligence of accountants, receptionists and CEOs. She administers a test of emotional intelligence that is known to be normally distributed in the population to random samples of 50 accountants, 50 receptionists and 50 CEOs. The variance of emotional intelligence is the same in all groups. She then conducts three independent samples t-tests comparing the accountants to the receptionists, the receptionists to the CEOs and the accountants to the CEOs. What is wrong with this study